# Sul dominio spettrale dell’ integrale di newton

Translated title of the contribution: Spectral domain of newton’s integral

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8 Citations (Scopus)

## Abstract

To define the spectral domain of the Newton volume integral, the kernel of Newton’s integral, i.e., the reciprocal value of the spatial distance is expanded into a series of the Legendre polynomials. It can be done only if the condition of convergence is satisfied (Hobson 1931; Sternberg and Smith, 1952), so that the ratio of the geocentric radii of the computation and integration points has to be ≤ 1. Considering for the gravitational field generated by atmosphere and topography, the spectral domain of Newton’s volume integral is discussed. Based on a theoretical investigation the analytical formulae for the gravitational potential and attraction are then introduced.

Translated title of the contribution Spectral domain of newton’s integral Italian 61-73 13 Bollettino di Geodesia e Scienze Affini 64 2 Published - 2005 Yes

## Keywords

• Atmosphere
• Gravity
• Legendre polynomials
• Newton’s integral
• Topography

## ASJC Scopus subject areas

• Engineering(all)